Luckett was born in St Helens, Lancashire and played his early football with Skelmersdale United, from where he had an unsuccessful trial with Liverpool.
Luckett was "ever-present" in 1932–33, playing at left-half until mid-February, before being pushed forward to outside-left to replace Johnny Arnold who had been transferred to Fulham along with Michael Keeping.
6 shirt for 1934–35 only missing four matches as the Saints struggled both on and off the pitch, finishing only two places above the relegation zone and needing two borrow £200 from the Supporters Club to help finance the summer wage bill.
[9] After two attempts at a return to first-team action, Luckett retired in the summer of 1937, having made 219 appearances over ten years, scoring 10 goals.
[1] After retiring from playing at the age of 34, Luckett joined Cowes Sports as a player-coach, remaining with the Isle of Wight club up to the start of World War II.